Details

Time bar (total: 28.2s)

sample81.0ms

Algorithm
intervals
Results
37.0ms281×body80nan
21.0ms256×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01620
14120
221020
357520
4130320
5202420
6209020
done209020

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
56.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
102.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms
(* 6.0 (* v v))
93.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
434.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))
649.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify3.2s

Counts
135 → 135
Iterations

Useful iterations: done (3.2s)

IterNodesCost
03303068
128522852
done50002504

prune468.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 84
Calls
4 calls:
17.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
31.0ms
(* 6.0 (* v v))

series172.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 6.0 (* v v))
30.0ms
(* 6.0 (* v v))
53.0ms
(* 6.0 (* v v))
47.0ms
(* 6.0 (* v v))

simplify5.4s

Counts
96 → 96
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
036696
1146660
21861564
done5000564

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
1.0b
(* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
324×cbrt-div sqrt-div
272×frac-times
216×flip3-- flip--
196×associate-*r/
100×associate-*l/
81×add-exp-log
80×associate-/r/
55×add-cbrt-cube
50×prod-exp cbrt-unprod
43×pow1
28×pow-prod-down
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity associate-*r*
8×cbrt-undiv div-exp
7×associate-*l*
6×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 278
Calls
4 calls:
33.0ms
(* 6.0 (* v v))
36.0ms
(* 6.0 (* v v))
526.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
681.0ms
(* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 6.0 (* v v))
33.0ms
(* 6.0 (* v v))
637.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
431.0ms
(* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify3.5s

Counts
290 → 290
Iterations

Useful iterations: done (3.5s)

IterNodesCost
056416242
1434515271
done500012260

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03159
14159
done4159

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8000×body80valid
768.0ms7943×body80nan